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— | bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives [2021/02/07 16:45] (current) – created - external edit 127.0.0.1 |
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| ====== Chapter 02: The Derivative ====== |
| {{ :bsc:notes_of_calculus_with_analytic_geometry:calculus-with-analytic-geometry-ch02.jpg?nolink|Chapter 02: The Derivative BSc Calculus}} |
| Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. |
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| Here are few online resource, which are very helpful to find derivative. |
| * [[http://calc101.com/webMathematica/derivatives.jsp|Step-by-Step Derivatives]] |
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| * [[http://www.derivative-calculator.net/|Calculate derivatives online, now with steps!]] |
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| ==== Contents and summary ==== |
| * Definition and notation |
| * Geometrical interpretation of the derivative |
| * Instantaneous velocity |
| * Marginal functions in economics |
| * General theorems on derivatives |
| * Inverse trigonometric functions |
| * Logarithmic and exponential functions |
| * Derivative of hyperbolic functions |
| * Implicit Differentiation |
| * Logarithmic Differentiation |
| * Differentials and approximation |
| * Newtorn Raphson Method |
| * Higer derivatives |
| * Some standard nth derivatives |
| * Leibniz rule |
| * Functions of several variables |
| * Open and closed rectangles |
| * Limit and continuity |
| * Partial derivatives |
| * Differentiability |
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| ====Solutions==== |
| <callout type="success" icon="fa fa-download"> |
| * Exercise 2.1 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-1-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-1-Calculus.pdf|Download PDF]] |
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| * Exercise 2.2 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-2-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-2-Calculus.pdf|Download PDF]] |
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| * Exercise 2.3 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-3-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-3-Calculus.pdf|Download PDF]] |
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| * Exercise 2.4 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-4-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-4-Calculus.pdf|Download PDF]] |
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| * Exercise 2.5 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-5-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-5-Calculus.pdf|Download PDF]] |
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| * Exercise 2.6 | VIEW [[:BSc:Notes of Calculus with Analytic Geometry:Ch02 Derivatives:Viewer?f=ch02/Chap02-Solutions-Ex-2-6-Calculus|View online]] | [[pdf>files/bsc/calculus/ch02/Chap02-Solutions-Ex-2-6-Calculus.pdf|Download PDF]] |
| </callout> |
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| ==== Notes by Prof M. Tanveer ==== |
| <callout type="success" icon="fa fa-download"> |
| * Exercise 2.1 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-1-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-1-Calculus-Prof-M-Tanveer.pdf|Download PDF]] |
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| * Exercise 2.2 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-2-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-2-Calculus-Prof-M-Tanveer.pdf|Download PDF]] |
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| * Exercise 2.3 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-3-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-3-Calculus-Prof-M-Tanveer.pdf|Download PDF]] |
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| * Exercise 2.5 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-5-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-5-Calculus-Prof-M-Tanveer.pdf|Download PDF]] |
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| * Exercise 2.6 | [[:bsc:notes_of_calculus_with_analytic_geometry:ch02_derivatives:viewer?f=ch02/Chap-02-Ex-2-6-Calculus-Prof-M-Tanveer|View Online]] | [[pdf>files/bsc/calculus/ch02/Chap-02-Ex-2-6-Calculus-Prof-M-Tanveer.pdf|Download PDF]] |
| </callout> |
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| {{tag>BSc Solutions_of_Calculus_BSc Prof_M_Tanveer}} |